The dyadic green's function for an infinite moving medium
Derivation of dyadic Green function for electromagnetic field in moving medium using Minkowski theory and method of Fourier analysis
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Derivation of dyadic Green function for electromagnetic field in moving medium using Minkowski theory and method of Fourier analysis
Huygen principle for electromagnetic field in moving, isotropic, homogeneous and linear medium, using Maxwell-Minkowski equations and Green function for field equation
Vector potential function solution to Maxwell- Minkowski equations describing cut-off phenomena for EM wave propagation in wave guide filled with homogeneous isotropic lossless moving medium
The possibility of creating gamma ray bursts (GRB's) from accretion flows on to black holes is investigated. The mechanism of initial energy release in the form of a burst is not understood yet. The typical time scales involved in this energy release and the initial distribution of photons as a function of energy are studied. As a first step the problem is formulated in the Minkowski spacetime for a homogeneous and isotropic burst. For an arbitrary initial distribution of photons, the equations of relativistic kinetic theory are formulated for nonequilibrium plasmas which can take into account various particle creation and annihilation processes and various scattering processes.
We studied the fit of a contrast gain control model to data of Foley (JOSA 1994), consisting of thresholds for a Gabor patch masked by gratings of various orientations, or by compounds of two orientations. Our general model includes models of Foley and Teo & Heeger (IEEE 1994). Our specific model used a bank of Gabor filters with octave bandwidths at 8 orientations. Excitatory and inhibitory nonlinearities were power functions with exponents of 2.4 and 2. Inhibitory pooling was broad in orientation, but narrow in spatial frequency and space. Minkowski pooling used an exponent of 4. All of the data for observer KMF were well fit by the model. We have developed a contrast gain control model that fits masking data. Unlike Foley's, our model accepts images as inputs. Unlike Teo & Heeger's, our model did not require multiple channels for different dynamic ranges.